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Finding the Third Proportional to 106,824 and 154,728

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Solution

The third proportional to 106,824 and 154,728 is: 224,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,824 : 154,728 = 154,728 : x
  2. Step 2: Convert to fraction form
    106,824/154,728 = 154,728/x
  3. Step 3: Cross multiply
    106,824x = 154,728 × 154,728
  4. Step 4: Simplify right side
    106,824x = 23,940,753,984
  5. Step 5: Solve for x
    x = 23,940,753,984/106,824
  6. Step 6: Final answer
    x = 224,114.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.